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Mirrors > Home > ILE Home > Th. List > nfin | Unicode version |
Description: Bound-variable hypothesis builder for the intersection of classes. (Contributed by NM, 15-Sep-2003.) (Revised by Mario Carneiro, 14-Oct-2016.) |
Ref | Expression |
---|---|
nfin.1 | |
nfin.2 |
Ref | Expression |
---|---|
nfin |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfin5 2980 | . 2 | |
2 | nfin.2 | . . . 4 | |
3 | 2 | nfcri 2213 | . . 3 |
4 | nfin.1 | . . 3 | |
5 | 3, 4 | nfrabxy 2534 | . 2 |
6 | 1, 5 | nfcxfr 2216 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1433 wnfc 2206 crab 2352 cin 2972 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-rab 2357 df-in 2979 |
This theorem is referenced by: csbing 3173 nfres 4632 |
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